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Finding the Fourth Proportional to 846.60, 1,270.98 and 664.62

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Solution

The fourth proportional to 846.60, 1,270.98 and 664.62 is: 997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,270.98 = 664.62 : x
  2. Step 2: Convert to fraction form
    846.60/1,270.98 = 664.62/x
  3. Step 3: Cross multiply
    846.60x = 1,270.98 × 664.62
  4. Step 4: Simplify right side
    846.60x = 844,718.73
  5. Step 5: Solve for x
    x = 844,718.73/846.60
  6. Step 6: Final answer
    x = 997.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.